Finding the Third Proportional to 12,666.38 and 16,569.56

Step by Step Solution

1. Step 1: Write the proportion equation
   12,666.38 : 16,569.56 = 16,569.56 : x
2. Step 2: Convert to fraction form
   12,666.38/16,569.56 = 16,569.56/x
3. Step 3: Cross multiply
   12,666.38x = 16,569.56 × 16,569.56
4. Step 4: Simplify right side
   12,666.38x = 274,550,401.44
5. Step 5: Solve for x
   x = 274,550,401.44/12,666.38
6. Step 6: Final answer
   x = 21,675.53